Question

The points (3, 4), (2, 5), (3, 7) forms
(A) acute angled scalene
(B) obtuse angled scalene
(C) right angled scalene
(D) Equilateral​

Answer 1

Given : The points (3, 4), (2, 5), (3, 7) forms a triangle

To find : Type of Triangle

Solution

Vertex  

(3, 4), (2, 5), (3, 7)

(3, 4) &  (3, 7)   are parallel to x axis

=> altitude from (2.5) will be parallel to y axis

Hence  ( 3 , 5)  will be altitude  on  Base formed by  (3, 4) &  (3, 7)  

(3, 5) is the point between   (3, 4) &  (3, 7)  

hence triangle  is  acute angled scalene

(3, 4), (2, 5), (3, 7)

Length of Sides = √(2 - 3)² + (5 - 4)² = √2

√(3 - 3)² + (7 - 4)² = 3

√(2 - 3)² + (5 - 7)² = √5

Length of Each sides = √2 ,  3 , √5

Hence  right angled  and Equilateral​ not possible

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